There are 1 questions in this calculation: for each question, the 3 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ sin(2{x}^{2})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sin(2x^{2})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sin(2x^{2})\right)}{dx}\\=&cos(2x^{2})*2*2x\\=&4xcos(2x^{2})\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 4xcos(2x^{2})\right)}{dx}\\=&4cos(2x^{2}) + 4x*-sin(2x^{2})*2*2x\\=&4cos(2x^{2}) - 16x^{2}sin(2x^{2})\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 4cos(2x^{2}) - 16x^{2}sin(2x^{2})\right)}{dx}\\=&4*-sin(2x^{2})*2*2x - 16*2xsin(2x^{2}) - 16x^{2}cos(2x^{2})*2*2x\\=&-48xsin(2x^{2}) - 64x^{3}cos(2x^{2})\\ \end{split}\end{equation} \]

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